The light from the moon, in lux, on the night of the t^("th ") day of 2016 , is L(t)=0.25-sin((2pi(t-2))/(28.5)). What is the period of the light from the moon? Give an exact answer. days

Identify Function: Identify the function that describes the light from the moon, L(t) = 0.25 - sin((2pi(t-2))/(28.5)). We need to find the period of the sine function.General Sine Form: The general form of a sine function is sin(B(t - C)) + D, where 2pi/B is the period. In our function, B = 2pi/28.5.Calculate Period: Calculate the period using the formula 2pi/B. So the period is 2pi/(2pi/28.5) = 28.5.

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The light from the moon, in lux, on the night of the
t^("th ") day of 2016 , is

L(t)=0.25-sin((2pi(t-2))/(28.5)).
What is the period of the light from the moon? Give an exact answer.
days

The light from the moon, in lux, on the night of the $t^{\text {th }}$ day of $2016$ , is $\newline$ $L(t)=0.25-\sin \left(\frac{2 \pi(t-2)}{28.5}\right) .$ $\newline$ What is the period of the light from the moon? Give an exact answer. $\newline$ days

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Q. The light from the moon, in lux, on the night of the

t^{\text {th }}

day of

2016

, is

\newline

L(t)=0.25-\sin \left(\frac{2 \pi(t-2)}{28.5}\right) .

\newline

What is the period of the light from the moon? Give an exact answer.

\newline

days

Identify Function: Identify the function that describes the light from the moon, $L(t) = 0.25 - \sin\left(\frac{2\pi(t-2)}{28.5}\right)$ . We need to find the period of the sine function.
General Sine Form: The general form of a sine function is $\sin(B(t - C)) + D$ , where $\frac{2\pi}{B}$ is the period. In our function, $B = \frac{2\pi}{28.5}$ .
Calculate Period: Calculate the period using the formula $2\pi/B$ . So the period is $2\pi/(2\pi/28.5) = 28.5$ .